Paper Title:

Simple Integral Representations for the Fibonacci and Lucas Numbers

Author(s):

Seán M. Stewart

Physical Science and Engineering Division,
King Abdullah University of Science and Technology,
Thuwal 23955-6900,
Saudi Arabia.
E-mail: sean.stewart@kaust.edu.sa

Abstract:

Integral representations of the Fibonacci numbers F_{kn + r} and the Lucas numbers L_{kn + r} are presented. Each is established using methods that rely on nothing beyond elementary integral calculus.

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